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Finding the Third Proportional to 643,800 and 1,385,776

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Solution

The third proportional to 643,800 and 1,385,776 is: 2,982,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,800 : 1,385,776 = 1,385,776 : x
  2. Step 2: Convert to fraction form
    643,800/1,385,776 = 1,385,776/x
  3. Step 3: Cross multiply
    643,800x = 1,385,776 × 1,385,776
  4. Step 4: Simplify right side
    643,800x = 1,920,375,122,176
  5. Step 5: Solve for x
    x = 1,920,375,122,176/643,800
  6. Step 6: Final answer
    x = 2,982,875.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.